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We report systematic Cu- and F-NMR measurements of five-layered high-Tccuprates Ba2Ca4Cu5O10(F,O)2. It is revealed that antiferromagnetism (AFM)uniformly coexists with superconductivity (SC) in underdoped regions, and thatthe critical hole density pc for AFM is ~ 0.11 in the five-layered compound. Wepresent the layer-number dependence of AFM and SC phase diagrams in hole-dopedcuprates, where pc for n-layered compounds, pc(n), increases from pc(1) ~ 0.02in LSCO or pc(2) ~ 0.05 in YBCO to pc(5) ~ 0.11. The variation of pc(n) isattributed to interlayer magnetic coupling, which becomes stronger withincreasing n. In addition, we focus on the ground-state phase diagram of CuO2planes, where AFM metallic states in slightly doped Mott insulators change intothe uniformly mixed phase of AFM and SC and into simple d-wave SC states. Themaximum Tc exists just outside the quantum critical hole density, at which AFMmoments on a CuO2 plane collapse at the ground state, indicating an intimaterelationship between AFM and SC. These characteristics of the ground state areaccounted for by the Mott physics based on the t-J model; the attractiveinteraction of high-Tc SC, which raises Tc as high as 160 K, is an in-planesuperexchange interaction Jin (~ 0.12 eV), and the large Jin binds electrons ofopposite spins between neighboring sites. It is the Coulomb repulsiveinteraction U ~ (> 6 eV) between Cu-3d electrons that plays a central role inthe physics behind high-Tc phenomena.

High-Tc superconductivity and antiferromagnetism in multilayer cuprates: 63Cu- and 19F-NMR on five-layer Ba2Ca4Cu5O10(F,O)2